[fullwidth background_color=”” background_image=”” background_parallax=”none” enable_mobile=”no” parallax_speed=”0.3″ background_repeat=”no-repeat” background_position=”left top” video_url=”” video_aspect_ratio=”16:9″ video_webm=”” video_mp4=”” video_ogv=”” video_preview_image=”” overlay_color=”” overlay_opacity=”0.5″ video_mute=”yes” video_loop=”yes” fade=”no” border_size=”0px” border_color=”” border_style=”” padding_top=”20″ padding_bottom=”20″ padding_left=”0″ padding_right=”0″ hundred_percent=”no” equal_height_columns=”no” hide_on_mobile=”no” menu_anchor=”” class=”” id=””][title size=”2″ content_align=”left” style_type=”none” sep_color=”” margin_top=”” margin_bottom=”” class=”” id=””]Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles (ACMMG222)[/title][fusion_text]

LO: To investigate Pythagoras’ Theorem and solve simple problems with right-angled triangles.

Know:

the properties of right-angled triangles.

Understand:

That there is a link between the 2 sides of a right-angled triangle to the hypotenuse.

Do:

I can use Pythagoras’ Theorem to solve simple problems involving right-angled triangles.

[/fusion_text][/fullwidth][fullwidth background_color=”” background_image=”” background_parallax=”none” enable_mobile=”no” parallax_speed=”0.3″ background_repeat=”no-repeat” background_position=”left top” video_url=”” video_aspect_ratio=”16:9″ video_webm=”” video_mp4=”” video_ogv=”” video_preview_image=”” overlay_color=”” overlay_opacity=”0.5″ video_mute=”yes” video_loop=”yes” fade=”no” border_size=”0px” border_color=”” border_style=”” padding_top=”20″ padding_bottom=”20″ padding_left=”0″ padding_right=”0″ hundred_percent=”no” equal_height_columns=”no” hide_on_mobile=”no” menu_anchor=”” class=”” id=””][title size=”1″ content_align=”left” style_type=”none” sep_color=”” margin_top=”” margin_bottom=”” class=”” id=””]

Pythagoras’ Theorem

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Pythagoras’ Theorem states that when you create squares with the 2 sides of a right-angled triangle (a and b) that it equals to the square created by the hypotenuse (c).

It is a very useful tool in determining unknown lengths in right-angled triangles.

One key piece of information is that sides ‘a’ or ‘b’ can be interchanged, but side ‘c’ is ALWAYS the hypotenuse.

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Formula: A squared + B squared = C squared

Worked Examples

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Teaching Ideas

[/title][imageframe lightbox=”no” lightbox_image=”” style_type=”none” hover_type=”none” bordercolor=”” bordersize=”0px” borderradius=”0″ stylecolor=”” align=”none” link=”” linktarget=”_self” animation_type=”0″ animation_direction=”down” animation_speed=”0.1″ hide_on_mobile=”no” class=”” id=””] [/imageframe][separator style_type=”none” top_margin=”” bottom_margin=”” sep_color=”” border_size=”” icon=”” icon_circle=”” icon_circle_color=”” width=”” alignment=”” class=”” id=””][/fullwidth][fullwidth background_color=”” background_image=”” background_parallax=”none” enable_mobile=”no” parallax_speed=”0.3″ background_repeat=”no-repeat” background_position=”left top” video_url=”” video_aspect_ratio=”16:9″ video_webm=”” video_mp4=”” video_ogv=”” video_preview_image=”” overlay_color=”” overlay_opacity=”0.5″ video_mute=”yes” video_loop=”yes” fade=”no” border_size=”0px” border_color=”” border_style=”” padding_top=”20″ padding_bottom=”20″ padding_left=”0″ padding_right=”0″ hundred_percent=”no” equal_height_columns=”no” hide_on_mobile=”no” menu_anchor=”” class=”” id=””][title size=”1″ content_align=”left” style_type=”default” sep_color=”” margin_top=”” margin_bottom=”” class=”” id=””]

Interactives

[/title][imageframe lightbox=”no” lightbox_image=”” style_type=”none” hover_type=”none” bordercolor=”” bordersize=”0px” borderradius=”0″ stylecolor=”” align=”none” link=”http://fusecontent.education.vic.gov.au/a1d2f196-ac0a-4f64-9dbd-c3b7f7a8314b/p/index.html” linktarget=”_self” animation_type=”0″ animation_direction=”down” animation_speed=”0.1″ hide_on_mobile=”no” class=”” id=””] [/imageframe][imageframe lightbox=”no” lightbox_image=”” style_type=”none” hover_type=”none” bordercolor=”” bordersize=”0px” borderradius=”0″ stylecolor=”” align=”none” link=”http://fusecontent.education.vic.gov.au/3fae86c5-1547-4102-a717-3dd2404c34a0/p/index.html” linktarget=”_self” animation_type=”0″ animation_direction=”down” animation_speed=”0.1″ hide_on_mobile=”no” class=”” id=””] [/imageframe][separator style_type=”none” top_margin=”” bottom_margin=”” sep_color=”” border_size=”” icon=”” icon_circle=”” icon_circle_color=”” width=”” alignment=”” class=”” id=””][/fullwidth][fullwidth background_color=”” background_image=”” background_parallax=”none” enable_mobile=”no” parallax_speed=”0.3″ background_repeat=”no-repeat” background_position=”left top” video_url=”” video_aspect_ratio=”16:9″ video_webm=”” video_mp4=”” video_ogv=”” video_preview_image=”” overlay_color=”” overlay_opacity=”0.5″ video_mute=”yes” video_loop=”yes” fade=”no” border_size=”0px” border_color=”” border_style=”” padding_top=”20″ padding_bottom=”20″ padding_left=”0″ padding_right=”0″ hundred_percent=”no” equal_height_columns=”no” hide_on_mobile=”no” menu_anchor=”” class=”” id=””][title size=”1″ content_align=”left” style_type=”none” sep_color=”” margin_top=”” margin_bottom=”” class=”” id=””]

Pythagorean Theorem Videos

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Student Generated Videos

[/title][separator style_type=”none” top_margin=”” bottom_margin=”” sep_color=”” border_size=”” icon=”” icon_circle=”” icon_circle_color=”” width=”” alignment=”” class=”” id=””][youtube id=”https://www.youtube.com/watch?v=ICL0fXE3678″ width=”600″ height=”350″ autoplay=”no” api_params=”” class=””][/youtube][youtube id=”https://www.youtube.com/watch?v=pkxHKYZtd30″ width=”600″ height=”350″ autoplay=”no” api_params=”” class=””][/youtube][youtube id=”https://www.youtube.com/watch?v=jrO7rm7PQc0″ width=”600″ height=”350″ autoplay=”no” api_params=”” class=””][/youtube][button link=”http://www.alamandamaths.com/” color=”default” size=”” type=”” shape=”” target=”_self” title=”” gradient_colors=”|” gradient_hover_colors=”|” accent_color=”” accent_hover_color=”” bevel_color=”” border_width=”1px” icon=”” icon_position=”left” icon_divider=”no” modal=”” animation_type=”0″ animation_direction=”left” animation_speed=”1″ alignment=”” class=”” id=””]Next Lesson[/button][/fullwidth]

LO: To investigate Pythagoras’ Theorem and solve simple problems with right-angled triangles. Know:

the properties of right-angled triangles.